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Answer :
The required value of the x is 13 in the measures of the angle.
Given that,
Line A and B are parallel lines and intersect by a transversal line.
Here,
If a pair of parallel lines intersect by the transversal line then their corresponding angles are equal in measure,
Thus, we get;
8x + 2 = 14x - 76
6x = 78
x = 78 / 6
x = 13
Thus, the required value of the x is 13 in the measures of the angle.
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